Given the points X(-2, 5) and Y(2, -3), find the coordinates of the point P on
1 answer:
The coordinate of the point P will be (6/5, -7/5). Then the correct option is C.
The complete question is attached below.
<h3>What is the section of the line?</h3>Let A (x₁, y₁) and B (x₂, y₂) be a line segment. Then the point P (x, y) divide the line segment in the ratio of m:n. Then we have
x = (mx₂ + nx₁) / (m + n)
y = (my₂ + ny₁) / (m + n)
Given the points X(-2, 5) and Y(2, -3).
Then the coordinates of the point P on directed line segment XY that partitions segment XY such that the ratio of XP to PY is 4:1.
(x₁, y₁) = (-2, 5)
(x₂, y₂) = (2, -3)
m = 4
n = 1
Then the point will be
x = [4 × 2 + 1 × (-2)] / (4 + 1)
x = 6 / 5
y = [4 × (-3) + 1 × 5] / (4 + 1)
y = -7 / 5
The coordinate of the point P will be (6/5, -7/5).
Then the correct option is C.
More about the section of the line link is given below.
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To solve this first we need to get are chunk which is already solved for here as
Y=(4x) so one the chunk side of this we dont have to solve for it, so now we can just skip right to solving this equation like so. First input the numbers x+(4x)=5,
Distribute/Combine like terms in this case
5x=5
Divide by 5
x=1
So now that we have x we can plug it into are chunk and then we have are answer
Y=(4x)
Y=(4*1)
Y=4
So are end answers are
Enjoy!=)
Y=(4x) so one the chunk side of this we dont have to solve for it, so now we can just skip right to solving this equation like so. First input the numbers x+(4x)=5,
Distribute/Combine like terms in this case
5x=5
Divide by 5
x=1
So now that we have x we can plug it into are chunk and then we have are answer
Y=(4x)
Y=(4*1)
Y=4
So are end answers are
Enjoy!=)